On the Ground State to Hamiltonian Elliptic System with Choquard’s Nonlinear Term

Wenbo Wang, Jianwen Zhou and Yongkun Li

Advances in Mathematical Physics, 2020, vol. 2020, 1-9

Abstract:

In the present paper, we consider the following Hamiltonian elliptic system with Choquard’s nonlinear term where is a bounded domain with a smooth boundary, , , and is the primitive of , similarly for . By establishing a strongly indefinite variational setting, we prove that the above problem has a ground state solution.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:8358629

DOI: 10.1155/2020/8358629

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